Finding the Third Proportional to 581.50 and 925.25

Step by Step Solution

1. Step 1: Write the proportion equation
   581.50 : 925.25 = 925.25 : x
2. Step 2: Convert to fraction form
   581.50/925.25 = 925.25/x
3. Step 3: Cross multiply
   581.50x = 925.25 × 925.25
4. Step 4: Simplify right side
   581.50x = 856,087.56
5. Step 5: Solve for x
   x = 856,087.56/581.50
6. Step 6: Final answer
   x = 1,472.21